A Skewed Model Combining Triangular and Exponential Features: The Two-faced Distribution and its Statistical Properties
DOI:
https://doi.org/10.17713/ajs.v35i4.355Abstract
A new continuous distribution model is introduced, joining triangular and exponential features, respectively on the left and right side of a hinge point. The cumulative distribution function is derived, as well as the first three moments. Expected values and the Pearson index of skewness are tabulated. A possible step-by-step approach to parameter estimation is outlined. An application to Italian geographical data is given, referring to a set of municipalities classified by population, showing a very satisfactory goodness of fit.
References
Johnson, N. L. (1997). The triangular distribution as a proxy for the beta distribution in risk analysis. The Statistician, 46, 387-398.
Johnson, N. L., and Kotz, S. (1999). Non-smooth sailing or triangular distributions revisited after some 50 years. The Statistician, 48, 179-187.
Van Dorp, J. R., and Kotz, S. (2002a). The standard two-sided power distribution and its properties; with applications in financial engineering. The American Statistician, 56, 90-99.
Van Dorp, J. R., and Kotz, S. (2002b). A novel extension of triangular distribution and its parameter estimation. The Statistician, 51, 63-79.
Downloads
Published
Issue
Section
License
The Austrian Journal of Statistics publish open access articles under the terms of the Creative Commons Attribution (CC BY) License.
The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed.
Copyright on any research article published by the Austrian Journal of Statistics is retained by the author(s). Authors grant the Austrian Journal of Statistics a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
Manuscripts should be unpublished and not be under consideration for publication elsewhere. By submitting an article, the author(s) certify that the article is their original work, that they have the right to submit the article for publication, and that they can grant the above license.
How to Cite
